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Finding the Fourth Proportional to 9,450, 14,177.40 and 3,294.48

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Solution

The fourth proportional to 9,450, 14,177.40 and 3,294.48 is: 4,942.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,450 : 14,177.40 = 3,294.48 : x
  2. Step 2: Convert to fraction form
    9,450/14,177.40 = 3,294.48/x
  3. Step 3: Cross multiply
    9,450x = 14,177.40 × 3,294.48
  4. Step 4: Simplify right side
    9,450x = 46,707,160.75
  5. Step 5: Solve for x
    x = 46,707,160.75/9,450
  6. Step 6: Final answer
    x = 4,942.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.